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aleksandrvk [35]
3 years ago
10

The length of one leg of a right triangle is 8 centimeters shorter than the

Mathematics
1 answer:
ra1l [238]3 years ago
3 0

{34}^{2}  +  {b}^{2}  = {42}^{2}  \\ 1156 + {b}^{2}  = 1764 \\ 1156 - 1156 +  {b}^{2}  = 1764 - 1156 \\  {b}^{2}  = 608 \\  \sqrt{ {b}^{2} }  =  \sqrt{608}  \\ b = 24.7
I used the Pythagorean formula, which is a² + b² = c².
a² and b² are the two side legs while c² is the hypotenuse.
One of the side is 42 - 8 = 34 cm.

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Please help!posted picture of question
olchik [2.2K]
Answer:
\frac{x^2 - 5}{4x + 1}, x ≠ -1/4

Explanation:
We are given that:
f (x) = 4x + 1
g(x) = x² - 5

We want to find the value of (g/f)(x). This means that we will simply divide g(x) by f(x) as follows:
( \frac{g}{f} )(x) =  \frac{g(x)}{f(x)} =  \frac{x^2 - 5}{4x + 1}

Now, we should note that any function is undefined if its denominator is equal to zero.
This means that for our current function:
4x + 1 cannot be equal to zero
4x + 1 = 0
4x = -1
x = -1/4
This means that the value of x cannot be -1/4, otherwise, our function would be undefined.

Based on the above, the last option is the correct one.

Hope this helps :)
8 0
3 years ago
Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the a
Sladkaya [172]

Answer:

Part A: The length of each side is 3x-2 units long.

Part B: The dimensions are 5x-4 and 5x+4 units long.

Step-by-step explanation:

Part A:

--> 9x^2-12x+4

--> Multiply 9 times 4 to see the factors of that product

--> 9 times4 = 36

Factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36

Use the factor 6 and make it negative so -6

add another -6

Keep in mind that it is -6x

--> 9x^2-6x-6x+4

Separate the four terms into two different binomials

--> 9x^2-6x  and -6x+4

Factor the binomials

With 9x^2-6x you can factor a 3x

So it will 3x(3x-2)

Do the same thing with -6x+4

You can factor out a -2

-2(3x-2)

The reason you factor out a -2 and not 2 is because it has to be same so in this case it is (3x-2)

Take the two numbers that you factored and put them to make an expression so (3x-2)

--> (3x-2)(3x-2) or (3x-2)^2

3x-2 is the length of each side so it is 3x-2 units long

Part B:

-->25x^2-16y^2

Use the difference of squares

take the square root of 25x^2

that is 5x

take the square root of 16y^2

that is 4y

write it in this way (5x+4y)(5x-4y)

These are the dimensions of the rectangle

3 0
3 years ago
While traveling along a highway a driver slows from 48 m/s to 30 m/s in 24 seconds. What is theautomobile’s acceleration?a.+ 0.7
kkurt [141]

Answer:

i dont care

its -75m/sc

Step-by-step explanation:

6 0
3 years ago
PLEASE PLEASE PLEASE I ALMOST DONE AND I NEED THIS QUESTION
sukhopar [10]

Answer:

107

Step-by-step explanation:

6 0
3 years ago
Find the probability of flipping heads?
prohojiy [21]
The probability would be 50%
5 0
3 years ago
Read 2 more answers
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